For the given statements select the correct option.

Assertion : The value of $s i n 45^{o} c o s e c 30^{o} c o s 60^{o} s e c 45^{o} t a n 45^{o} c o t 90^{o}$ is 0.

Reason : The value of $c o t 90^{o}$ is 0.

Both assertion and reason are true but reason is not the correct explanation of assertion.

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Assertion is false but reason is true

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Assertion is true but reason is false.

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Both assertion and reason are true and reason is the correct explanation of assertion.

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Solution

The correct option is D
Both assertion and reason are true and reason is the correct explanation of assertion.

We know that, the values for

$s i n 45^{o} = \frac{1}{\sqrt{2}}$

$c o s e c 30^{o} = 2$

$c o s 60^{o} = \frac{1}{2}$

$s e c 45^{o} = \sqrt{2}$

$t a n 45^{o} = 1$

$c o t 90^{o} = 0$

Hence, if we multiply all we will get 0.

Therefore, assertion and reason both are true and reason is the correct explanation for the assertion.

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\frac{x {cosec}^{2} 30^{o} {sec}^{2} 45^{o}}{8 {cos}^{2} 45^{o} {sin}^{2} 90^{o}} = {tan}^{2} 60^{o} - {tan}^{2} 45^{o}

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